Finding the Fourth Proportional to 2,085.27, 2,877.24 and 1,200.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.27 : 2,877.24 = 1,200.84 : x
2. Step 2: Convert to fraction form
   2,085.27/2,877.24 = 1,200.84/x
3. Step 3: Cross multiply
   2,085.27x = 2,877.24 × 1,200.84
4. Step 4: Simplify right side
   2,085.27x = 3,455,104.88
5. Step 5: Solve for x
   x = 3,455,104.88/2,085.27
6. Step 6: Final answer
   x = 1,656.91